IST Austria Library

Prime ideals in skew and q-skew polynomial rings / [electronic resource] K.R. Goodearl, E.S. Letzter.

By: Goodearl, K. R
Contributor(s): Letzter, E. S. (Edward S.), 1958-
Material type: TextTextSeries: Memoirs of the American Mathematical Society, v. 521Publisher: Providence, R.I. : American Mathematical Society, 1994Description: 1 online resource (vi, 106 p. : ill.)ISBN: 9781470400989 (online)Subject(s): Ideals (Algebra) | Polynomial rings | Noetherian ringsAdditional physical formats: Prime ideals in skew and q-skew polynomial rings /DDC classification: 510 s | 512/.4 LOC classification: QA3 | .A57 no. 521 | QA247Online resources: Contents
Contents:
1. Introduction 2. Preliminaries for $S$ = $R$[$y; \tau , \delta $] 3. Tau-delta-prime coefficient rings 4. Each prime ideal of $S$ is associated to a unique $\tau $-orbit in spec$R$ 5. Annihilator primes and induced bimodules 6. Prime ideals in quadratic (-1)-skew extensions 7. Prime ideals in $S$ associated to infinite orbits. The general case 8. Prime ideals in $S$ associated to infinite orbits. The $q$-skew case 9. Prime ideals in $S$ associated to finite orbits. The general case 10. Prime ideals in $S$ associated to finite orbits. The $q$-skew case 11. Classification of prime ideals in $q$-skew extensions 12. Irreducible finite dimensional representations of $q$-skew extensions 13. Quantized Weyl algebras 14. Prime factors of coordinate rings of quantum matrices 15. Chains of prime ideals in iterated Ore extensions
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current location Call number Status Date due Barcode Item holds
eBook eBook e-Library

Electronic Book@IST

 Available
Total holds: 0

"May 1994, volume 109, number 521 (first of 5 numbers)."

Includes bibliographical references (p. 104-106).

1. Introduction 2. Preliminaries for $S$ = $R$[$y; \tau , \delta $] 3. Tau-delta-prime coefficient rings 4. Each prime ideal of $S$ is associated to a unique $\tau $-orbit in spec$R$ 5. Annihilator primes and induced bimodules 6. Prime ideals in quadratic (-1)-skew extensions 7. Prime ideals in $S$ associated to infinite orbits. The general case 8. Prime ideals in $S$ associated to infinite orbits. The $q$-skew case 9. Prime ideals in $S$ associated to finite orbits. The general case 10. Prime ideals in $S$ associated to finite orbits. The $q$-skew case 11. Classification of prime ideals in $q$-skew extensions 12. Irreducible finite dimensional representations of $q$-skew extensions 13. Quantized Weyl algebras 14. Prime factors of coordinate rings of quantum matrices 15. Chains of prime ideals in iterated Ore extensions

Access is restricted to licensed institutions

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

There are no comments for this item.

to post a comment.

Powered by Koha